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Course Information

Course's Contribution to Prog.

ECTS- Workload Calculation Tool

Program Information

Course Title | Code | Semester | Laboratory+Practice (Hour) | Pool | Type | ECTS |

Analytic Geometry I | MATH105 | FALL | 2+2 | C | 6 |

Learning Outcomes | 1-Has a knowledge about vectors and the operations on vectors 2-Apprehend the point and vector, and examine the status according to each other 3-Know conic curves and properties of them. 4-Has a knowlegde about transformations on a plane. 5-Determine the types of conics. 6-Classify the second degree algebraic curves on a plane by using transformations. |

Activity | Percentage (100) | Number | Time (Hours) | Total Workload (hours) |

Course Duration (Weeks x Course Hours) | 14 | 4 | 56 | |

Classroom study (Pre-study, practice) | 14 | 5 | 70 | |

Assignments | 0 | 0 | 0 | 0 |

Short-Term Exams (exam + preparation) | 10 | 2 | 6 | 12 |

Midterm exams (exam + preparation) | 40 | 1 | 14 | 14 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 50 | 1 | 20 | 20 |

Other | 0 | 0 | 0 | 0 |

Total Workload (hours) | 172 | |||

Total Workload (hours) / 30 (s) | 5,73 ---- (6) | |||

ECTS Credit | 6 |

Week | Topics | Study Metarials |

1 | Vectors on a plane | |

2 | Algebraic operations of vectors on a plane | |

3 | Linear dependence and independence of vectors | |

4 | Line on a plane | |

5 | Projection of a point on a line, its distance and the distance between two lines on a plane | |

6 | The angle between two lines, the equations of bisector and the symetry according to a line and a line. | |

7 | General definitions of conic curves and the examination of circles analytically | |

8 | Midterm exams | |

9 | The examination of ellipses analytically | |

10 | The examination of hyperbolas analytically | |

11 | The examination of parabolas analytically | |

12 | Translation on a plane | |

13 | Rotation on a plane | |

14 | The classification of the second degree algebraic curve on a plane | |

15 | Standard form of the second degree algebraic curve on a plane |

Prerequisites | - |

Language of Instruction | English |

Coordinator | Res. Assist. Dr. Gül UĞUR KAYMANLI |

Instructors | - |

Assistants | -Assoc. Prof. Dr. Ufuk ÖZTÜRK -Assist Prof. Dr. Celalettin KAYA |

Resources | Analytic Geometry, H. İbrahim Karakaş, METU Department of Mathematics, Ankara,1994 . |

Supplementary Book | [1] Analytic Geometry (Schaum`s Outline Series in Mathematics), J. H. Kindle, McGraw-Hill, 1990. [2] Analitik Geometri (8. Baskı), H.Hilmi Hacısalihoğlu, Hacısalihoğlu Yayıncılık, Anakara, 2013. [3] Çözümlü Analitik Geometri Problemleri (3.Baskı), H.Hilmi Hacısalihoğlu, Ömer Tarakçı, Hacısalihoğlu Yayıncılık, Anakara, 2012. [4] Analitik Geometri (9. Baskı), Rüstem Kaya, Bilim Teknik Yayınevi, 2009. [5] Analitik Geometri (1. Baskı), Mustafa Balcı, Balcı Yayınları, Ankara, 2007. [6] Analitik Geometri (7. Baskı), Arif Sabuncuoğlu, Nobel Akademik Yayıncılık, Ankara, 2012. |

Goals | Introduce fundamental concepts of plane geometry and teach the relation between algebraic and geometric properties. |

Content | Vectors on a plane; Algebraic operations of vectors on a plane; Linear dependence and independence of vectors; Line on a plane; Projection of a point on a line, its distance and the distance between two lines on a plane; The angle between two lines, the equations of bisector and the symetry according to a line and a line; General definitions of conic curves and the examination of circles analytically; The examination of ellipses analytically; The examination of hyperbolas analytically; The examination of parabolas analytically; Translation on a plane; Rotation on a plane; The classification of the second degree algebraic curve on a plane; Standard form of the second degree algebraic curve on a plane. |

Program Learning Outcomes | Level of Contribution | |

1 | To have a grasp of theoretical and applied knowledge in main fields of mathematics | 5 |

2 | To have the ability of abstract thinking | 4 |

3 | To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps | 5 |

4 | To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life | 3 |

5 | To have the qualification of studying independently in a problem or a project requiring mathematical knowledge | 2 |

6 | To be able to work compatibly and effectively in national and international groups and take responsibility | - |

7 | To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge | 2 |

8 | To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge | 2 |

9 | To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time | - |

10 | To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally | 3 |

11 | To be able to produce projects and arrange activities with awareness of social responsibility | - |

12 | To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level | - |

13 | To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results | - |

14 | To have the awareness of acting compatible with social, scientific, cultural and ethical values | - |

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